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Finding the Fourth Proportional to 22,710.16, 34,068.66 and 7,129

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Solution

The fourth proportional to 22,710.16, 34,068.66 and 7,129 is: 10,694.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,710.16 : 34,068.66 = 7,129 : x
  2. Step 2: Convert to fraction form
    22,710.16/34,068.66 = 7,129/x
  3. Step 3: Cross multiply
    22,710.16x = 34,068.66 × 7,129
  4. Step 4: Simplify right side
    22,710.16x = 242,875,477.14
  5. Step 5: Solve for x
    x = 242,875,477.14/22,710.16
  6. Step 6: Final answer
    x = 10,694.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.